GCD of 803, 634, 420, 229 Calculator

Given Input numbers are 803, 634, 420, 229

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 803, 634, 420, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 634, 420, 229 is 1.

Therefore, GCD of numbers 803, 634, 420, 229 is 1

Given Input Data is 803, 634, 420, 229

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 803 is 11 x 73

Prime Factorization of 634 is 2 x 317

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 229 is 229

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(803, 634) = 509102

GCD(803, 634) = ( 803 x 634 ) / 509102

GCD(803, 634) = 509102 / 509102

GCD(803, 634) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 803, 634, 420, 229 is 1

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• GCD of 480, 375, 734, 656
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1. What is the GCD of 803, 634, 420, 229?

GCD of 803, 634, 420, 229 is 1

2. Where do I get the detailed procedure to find GCD of 803, 634, 420, 229?

You can find a detailed procedure to find GCD of 803, 634, 420, 229 on our page.

3. How to find GCD of 803, 634, 420, 229 on a calculator?

You can find the GCD of 803, 634, 420, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.